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Mathematical Tools for Physics

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Mathematical Tools for Physicsby James NearingPhysics DepartmentUniversity of 2003, James NearingPermission to copy forindividual or classroomuse is May, 2010ContentsIntroductioniiiBibliographyv 1Basic Stuff1TrigonometryParametric DifferentiationGaussian Integralserf and GammaDifferentiatingIntegralsPolar CoordinatesSketching Graphs2Infinite Series24The BasicsDeriving Taylor SeriesConvergenceSeries of SeriesPower series, two variablesStirling s ApproximationUseful TricksDiffractionChecking Results3Complex Algebra52Complex NumbersSome FunctionsApplications of Euler s FormulaGeometrySeries of cosinesLogarithmsMapping4Differential Equations67Linear Constant-CoefficientForced OscillationsSeries SolutionsSome General MethodsTrigonometry via ODE sGreen s FunctionsSeparation of VariablesCircuitsSimultaneous EquationsSimultaneous ODE sLegendre s

courses much easier. Mathematical Methods for Physicists by Arfken and Weber. Academic Press At a more advanced level, but it is su ciently thorough that will be a valuable reference work later. Mathematical Methods in Physics by Mathews and Walker. More sophisticated in its approach to the subject, but it has some beautiful insights.

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